{"id":26286,"date":"2021-06-25T13:52:10","date_gmt":"2021-06-25T08:22:10","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=26286"},"modified":"2022-03-02T10:47:34","modified_gmt":"2022-03-02T05:17:34","slug":"ncert-solutions-for-class-7-maths-chapter-1-ex-1-4","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-1-ex-1-4\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.4"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 1 Integers Ex 1.4 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.4<\/h2>\n

Question 1.
\nEvaluate each of the following:
\n(a) (-30) \u00f7 10
\n(b) 50 \u00f7 (-5)
\n(c) (-36) \u00f7 (-9)
\n(d) (-49) \u00f7 (49)
\n(e) 13 \u00f7 [(-2) + 1]
\n(f) 0 \u00f7 (-12)
\n(g) [(-31) \u00f7 [(-30) + (-1)]
\n(h) [(-36) \u00f7 12] \u00f7 3
\n(i) = (-6 + 5) \u00f7 [(-2 + 1)]
\nAnswer:
\n(a) (-30) \u00f7 10 = – (30 \u00f7 10) = – (3) = -3<\/p>\n

(b) 50 \u00f7 (-5) = – (50 \u00f7 5) = – (10) = -10<\/p>\n

(c) (-36) \u00f7 (- 9) = + (36 \u00f7 9) = + 4<\/p>\n

(d) (-49) \u00f7 49 = – (49 \u00f7 49) = – (1) = -1<\/p>\n

(e) 13 \u00f7 [(-2) + 1] = 13 \u00f7 (-2 + 1)
\n= 13 \u00f7 (-1) = – (13 \u00f7 1) = -13<\/p>\n

(f) 0 \u00f7 (-12) = – (0 \u00f7 12) = 0<\/p>\n

(g) (-31) \u00f7 [(-30) + (-1) = (-31) \u00f7 [-30 -1]
\n-31 \u00f7 (-31) = + (31 \u00f7 31) = + 1<\/p>\n

(h) [(-36) \u00f7 12] \u00f7 3 = [-36 \u00f7 12] \u00f7 3
\n= – (36 \u00f7 12) \u00f7 3 = – (3) \u00f7 3
\n= -3 \u00f7 3 = – 1<\/p>\n

(i) [(-6) + 5] \u00f7 [(-2) + 1]
\n= (-6 + 5) \u00f7 (-2 + 1) = – 1 \u00f7 (-1)
\n= + (1 \u00f7 1) = 1<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nVerify that a \u00f7 (b + c) \u2260 (a \u00f7 b) + (a \u00f7 c) for each of the following values of a, b and c.
\n(a) a = 12, b = -4, c = 2
\n(b) a = (-10), b = 1, c = 1
\nAnswer:
\n(a) Given a = 12, b = – 4 and c = 2
\nL.H.S = a + (b + c)
\n= 12 \u00f7 (-4 + 2) = 12 \u00f7 (- 2)
\n= – [12 \u00f7 2] = – 6
\nR.H.S = (a \u00f7 b) + (a \u00f7 c)
\n= (12 + -4) + [12 \u00f7 2]
\n= -(12 \u00f7 4) + (6) = -3 + 6 = 3
\n\u2234 L.H.S \u2260 R.H.S<\/p>\n

(b) Here a = – 10, b = 1, c = 1
\nL.H.S = a \u00f7 (b + c)
\n= (-10) \u00f7 (1 + 1) = -10 \u00f7 2
\n= -(10 \u00f7 2) = -5
\nR.H.S = (a \u00f7 b) + (a \u00f7 c)
\n= (-10 \u00f7 1) + (-10 \u00f7 1)
\n= -(10 \u00f7 1) + (-10) \u00f7 1
\n= -10 -10 = -20
\nL.H.S \u2260 R.H.S<\/p>\n

Question 3.
\nFill in the blanks :
\nAnswer:
\n(a) 369 \u00f7 1<\/span> = 369 (a \u00f7 1 = a)
\n(b) (-75) \u00f7 75<\/span> = -1 (-a \u00f7 a = -1)
\n(c) (-206) \u00f7 206<\/span> = 1 (- a) \u00f7 (-a) = 1
\n(d) -87 \u00f7 -1<\/span> = 87 (-a \u00f7 – 1 = a)
\n(e) -87<\/span> \u00f7 = -87 [(-a) \u00f7 1 = -a]
\n(f) -48<\/span> \u00f7 48 = -1 (-a \u00f7 a = -1)
\n(g) 20 \u00f7 -10<\/span> = -2
\n(h) -12<\/span> \u00f7 4 = -3<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nWrite five pairs of integers (a, b) such that a \u00f7 b = -3. One such pair is (6, -2) because 6 \u00f7 (-2) = (-3).
\nAnswer:
\nFive pairs of integers (a, b) such that a \u00f7 b = -3
\n(1) (3, -1)
\n(2) (-3, 1)
\n(3) (9, -3)
\n(4) (-9, 3)
\n(5) (-12, 4)<\/p>\n

Question 5.
\nThe temperature at 12 noon was 10\u00b0C above zero. If it decreases at the rate of 2\u00b0C per hour until midnight, at what time would the temperature be 8\u00b0C below zero? What would be the temperature at mid-night?
\nAnswer:
\nTemperature at 12 noon = + 10\u00b0C
\nRate of change in temperature = -2\u00b0C per hour
\nNumber of hours from 12 noon to midnight = 12
\n\u2234 Change in temperature in 12 hours = 12\u00b0 \u00d7 (-2) = -24\u00b0C
\nTemperatureat mid-night= 10\u00b0C + (-24\u00b0C)
\n(ie 12 hours after 12 noon) = -14\u00b0C
\nTemperature difference between + 10\u00b0C and -8\u00b0C = + 10\u00b0C – (-8\u00b0C)
\n= 10\u00b0C + 8\u00b0C = 18\u00b0C
\nTime taken = 18 \u00f7 2 = 9 hours
\nTemperature change of 18\u00b0C will take place in 9 hours from 12 noon
\nTime after 9 hours from 12 noon = 9 P.M.<\/p>\n

Question 6.
\nIn a class test (+3) marks are given for every correct answer and (-2) marks are given for every incorrect answer and no marks for not attempting any question.
\n(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?
\n(ii) Mohini scores -5 marks in this
\ntest, though she has got 7 correct answers. How many questions has she attempted incorrectly?
\nAnswer:
\n(i) Let \u2018x\u2019 be the number of incorrect question attempted by Radhika
\nAccording to the given question, we get
\n(+3) \u00d7 12 + x \u00d7 (-2) = 20
\n36 – 2x = 20
\n2x = 36 – 20
\n2x = 16
\nx = 8
\n\u2234 Radhika attempted 8 incorrect questions.<\/p>\n

(ii) Let \u2018x\u2019 be the number of incorrect question attempted by Mohini
\nAccording to the given question, we get
\n(+3) \u00d7 7 + x \u00d7 (-2) = -5
\n21 – 2x = -5
\n2x = 21 + 5
\n2x = 26
\nx = \\(\\frac{26}{2}\\) = 13
\n\u2234 Mohini attempted 13 incorrect questions.<\/p>\n

\"NCERT<\/p>\n

Question 7.
\nAn elevator descends into a mine shaft at the rate of 6 m\/min. If the descent starts from 10 m above the ground level, how long will it take to reach – 350 m?
\nAnswer:
\nPresent position of the elevator is at 10 m above the ground level;
\nDistance moved by the elevator below the ground level = 350 m
\n\u2234 Total distance moved by the elevator = 350 m + 10 m = 360 m
\n\u2234 The rate of descend = 6 m\/min
\nTime taken = \\(\\frac{360}{6}\\) minutes = 60 minutes 6 = 1 hour
\nRequired time = 1 hour<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.4 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.4 Question 1. Evaluate each of the following: (a) (-30) \u00f7 10 (b) 50 \u00f7 (-5) (c) (-36) \u00f7 (-9) (d) (-49) …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.4 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-1-ex-1-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.4 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.4 Questions and Answers are prepared by our highly skilled subject experts. 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